Question

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Stephen, Paul & Bridget share some money in the ratio 3 : 4 : 2. In total, Stephen and Bridget receive £50. How much does Paul get?

Answer 1

The money receive by Paul is
`\pounds 40`.

Explanation:

Given as :

The ratio of share of money among three people as

Stephen : Paul : Bridget = 3 : 4 : 2

The total money receive by Stephen and Bridget =
`\pounds 50`

Let The money receive by Stephen = 3 x

Let The money receive by Paul = 4 x

Let The money receive by Bridget = 2 x

Now, According to question

The total money receive by Stephen and Bridget =
`\pounds 50`

I.e 3 x + 2 x =
`\pounds 50`

i.e 5 x =
`\pounds 50`

∴ x =
`(\pounds 50)/(5)`

x =
`\pounds 10`

So, The money receive by Stephen = 3 ×
`\pounds 10` =
`\pounds 30`

Let The money receive by Paul = 4 ×
`\pounds 10` =
`\pounds 40`

Let The money receive by Bridget = 2 ×
`\pounds 10` =
`\pounds 20`

Hence The money receive by Paul is
`\pounds 40`. Answer